(3x^2+5x+7)-2x-3x+10=7

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Solution for (3x^2+5x+7)-2x-3x+10=7 equation:


Simplifying
(3x2 + 5x + 7) + -2x + -3x + 10 = 7

Reorder the terms:
(7 + 5x + 3x2) + -2x + -3x + 10 = 7

Remove parenthesis around (7 + 5x + 3x2)
7 + 5x + 3x2 + -2x + -3x + 10 = 7

Reorder the terms:
7 + 10 + 5x + -2x + -3x + 3x2 = 7

Combine like terms: 7 + 10 = 17
17 + 5x + -2x + -3x + 3x2 = 7

Combine like terms: 5x + -2x = 3x
17 + 3x + -3x + 3x2 = 7

Combine like terms: 3x + -3x = 0
17 + 0 + 3x2 = 7
17 + 3x2 = 7

Solving
17 + 3x2 = 7

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-17' to each side of the equation.
17 + -17 + 3x2 = 7 + -17

Combine like terms: 17 + -17 = 0
0 + 3x2 = 7 + -17
3x2 = 7 + -17

Combine like terms: 7 + -17 = -10
3x2 = -10

Divide each side by '3'.
x2 = -3.333333333

Simplifying
x2 = -3.333333333

Reorder the terms:
3.333333333 + x2 = -3.333333333 + 3.333333333

Combine like terms: -3.333333333 + 3.333333333 = 0.000000000
3.333333333 + x2 = 0.000000000

The solution to this equation could not be determined.

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